How high-end printers and low-end printers to keep in stock

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Question: OfficeStore must determine how many high-end printers and low-end printers to keep in stock, respectively. A high-end printer requires 5 sq ft of floorspace, whereas a low-end printer requires 2 sq ft; 100 sq ft of floorspace is available for printers. A high-end printer will earn OfficeStore $50 in profits, and a low-end printer will earn $20. Marketing requirements dictate that at least 60% of printers in stock be low-end printers. Finally, a high-end printer ties up $100 in capital, and a low-end printer, $50. OfficeStore wants to have at most $2,000 worth of capital tied up at any time. Write down the model in equations that can be used to maximize OfficeStore's profit. Detail the decision variables with a clear description of each one, the objective function and the constraints. You only need to write down the model in equations. You are not required to use Excel Solver to solve it.

Reference no: EM132754948

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